If `5 sin theta = 3`, find the value of `(sec theta -tan theta)/ (sec theta +tan theta)`.

(cosec theta -sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) = 1.

For theta_(1), theta_(2), ...., theta_(n) in (0, pi/2) , if ln(sec theta_(1)-tan theta_(1))+ "ln" (sec theta_(2)-tan theta_(2))+...... +"ln" (sec theta_(n)-tan theta_(n))+"ln" pi=0 , then the value of cos((sec theta_(1)+ tan theta_(1))(sec theta_(2)+tan theta_(2))....(sec theta_(n)+tan theta_(n))) is equal to

If theta lies in the fourth quadrant and cos theta=5/13 , find the value of : (13 sin theta+5 sec theta)/(5 tan theta+6 cosec theta) .

Find the minimum value of sec^2 theta + cosec^2 theta - 4.

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

Prove that : (sec theta-tan theta)/(sec theta+tan theta)= 1-2 sec theta tan theta+ 2 tan^2 theta .

Prove that (1 +cot theta -cosec theta )(1+tan theta +sec theta )=2.

Solve sqrt(2) sec theta+tan theta=1 .

If tan theta+ cot theta=2 , then find the value of tan^100 theta+ cot^100 theta .

Prove that (tan^3theta-1)/(tantheta-1)=sec^2theta+tantheta .